English

Aging in Spin Glasses in three, four and infinite dimensions

Disordered Systems and Neural Networks 2009-11-10 v2

Abstract

The SUE machine is used to extend by a factor of 1000 the time-scale of previous studies of the aging, out-of-equilibrium dynamics of the Edwards-Anderson model with binary couplings, on large lattices (L=60). The correlation function, C(t+tw,tw)C(t+t_w,t_w), twt_w being the time elapsed under a quench from high-temperature, follows nicely a slightly-modified power law for t>twt>t_w. Very tiny (logarithmic), yet clearly detectable deviations from the full-aging t/twt/t_w scaling can be observed. Furthermore, the t<twt<t_w data shows clear indications of the presence of more than one time-sector in the aging dynamics. Similar results are found in four-dimensions, but a rather different behaviour is obtained in the infinite-dimensional z=6z=6 Viana-Bray model. Most surprisingly, our results in infinite dimensions seem incompatible with dynamical ultrametricity. A detailed study of the link correlation function is presented, suggesting that its aging-properties are the same as for the spin correlation-function.

Keywords

Cite

@article{arxiv.cond-mat/0310087,
  title  = {Aging in Spin Glasses in three, four and infinite dimensions},
  author = {S. Jimenez and V. Martin-Mayor and G. Parisi and A. Tarancon},
  journal= {arXiv preprint arXiv:cond-mat/0310087},
  year   = {2009}
}

Comments

J.P.A special issue on glasses and spin-glasses. Some improvements in citations over printed version